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Professor Richard Bass
Tue Feb 15, 2005
11:00 am
Self-intersection local time $\beta_t$ is a measure of how often
a Brownian motion (or other process) crosses itself. Since Brownian
motion in the plane intersects itself so often, a renormalization
is needed in order to get something finite. LeGall proved that
$E e^{\gamma \beta_1}$ is finite for small $\gamma$ and infinite
for large $\gamma$. It...
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Prof Carlos Castillo-Chavez
Mon Feb 14, 2005
4:00 pm
The events of 9/11 in the US changed the way we look at routine activities such as air and mass-transportation travel. We (as a society) are somewhat prepared to respond to natural acts (epidemics, earthquakes, etc.) but have no data or reliable information that would help in the planning or identification of a set of responses if a deliberate act...
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Maria Eulalia Vares
Thu Feb 10, 2005
2:00 pm
The talk is based on a joint work with M. Cassandro, E. Orlandi and P. Picco in which we study the typical profiles of a one dimensional random field Kac model, for values of the temperature and magnitude of the field in the region of two absolute minima for the free energy of the corresponding random field Curie Weiss model. We show that, for...
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Vladas Sidoravicius
Thu Feb 10, 2005
11:00 am
We study the following model for the spread of a rumor or infection: There is a ``gas'' of so-called $A$-particles, each of which performs a continuous time simple random walk on $\Bbb Z^d$, with jumprate $D_A$. We assume that ``just before the start'' the number of $A$-particles at $x$, $N_A(x,0-)$, has a mean $\mu_A$ Poisson distribution and...
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Professor Ofer Zeitouni
Wed Feb 9, 2005
1:00 pm
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Professor Guofang Wei
Tue Feb 8, 2005
4:00 pm
We define a new spectrum for compact length spaces and Riemannian manifolds called the ``covering spectrum" which roughly measures the size of the one dimensional holes in the space. More specifically, the covering spectrum is a set of real numbers $\delta>0$ which identify the distinct $\delta$ covers of the space. We investigate the...
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Distinguished Professor Avner Friedman
Tue Feb 8, 2005
11:00 am
The Mathematical Biosciences Institute (MBI) was established at The Ohio State University in 2002, with funding from the NSF. The MBI brings mathematicians and statisticians together with bio-scientists from all over the country and the world in order to work on significant problems in biology and medicine. In this talk, I shall give examples...
